A particle moving in the $\mathrm{xy}$-plane experiences a velocity dependent force $\overrightarrow{\mathrm{F}}=\mathrm{k}\left({\mathrm{\upsilon }}_{\mathrm{y}}\hat{\mathrm{i}}+{\mathrm{\upsilon }}_{\mathrm{x}}\hat{\mathrm{j}}\right)$, where ${\mathrm{\upsilon }}_{\mathrm{x}}$ and ${\mathrm{\upsilon }}_{\mathrm{y}}$ are the $\mathrm{x}$ and $\mathrm{y}$ components of its velocity $\overrightarrow{\mathrm{\upsilon }}$. If $\overrightarrow{\mathrm{a}}$ is the acceleration of the particle, then which of the following statements is true for the particle ?

Two blocks $A$ and $B$ of masses $1.5 \mathrm{kg}$ and $0.5 \mathrm{kg}$ respectively are connected by a massless inextensible string passing over a frictionless pulley as shown in the figure. Block A is lifted until block B touches the ground and then block A is released. The initial height of block A is $80 \mathrm{cm}$ when block B just touches the ground. The maximum height reached by block $\mathrm{B}$ from the ground after the block A falls on the ground is

Two masses are connected by a string which passes over a pulley accelerating upward at a rate $A$ as shown. If $a_1$ and $a_2$ be the acceleration of bodies $1$ and $2$, respectively, then: